No Blow-Up by Nonlinear Itô Noise for the Euler Equations
SSRN, ISSN: 1556-5068
2023
- 4Citations
- 202Usage
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Article Description
By employing a suitable multiplicative Itô noise with radial structure and with more than linear growth, we show the existence of a unique, global-in-time, strong solution for the stochastic Euler equations in two and three dimensions. More generally, we consider a class of stochastic partial differential equations (SPDEs) with a superlinear growth drift and suitable nonlinear, multiplicative Itô noise, with the stochastic Euler equations as a special case within this class. We prove that the addition of such a noise effectively prevents blow-ups in the solution of these SPDEs.
Bibliographic Details
Elsevier BV
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